CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2011

  • question_answer
    Two identical charged spheres of material density p, suspended from the same point by inextensible strings of equal length make an angle 6 between the strings. When suspended in a liquid of density o the angle 9 remains the same. The dielectric constant K of the liquid is

    A)  \[\frac{\rho }{\rho -\sigma }\]                  

    B)  \[\frac{\rho -\sigma }{\rho }\]

    C)  \[\frac{\rho }{\rho +\sigma }\]                 

    D)  \[\frac{\rho +\sigma }{\rho }\]

    Correct Answer: A

    Solution :

                    \[{{E}_{r}}=\frac{{{F}_{a}}}{{{F}_{m}}}\]                 \[=\frac{mg}{(m-{{m}_{1}})g}=\frac{\rho V}{(\rho -\sigma )V}=\frac{\rho }{(\rho -\sigma )}\]


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